The NATO Advanced Research Workshop "Painleve Transcendents, their Asymp- totics and Physical Applications," held at the Alpine Inn in Sainte-Adele, near Montreal, September 2 -7, 1990, brought together a group of experts to discuss the topic and produce this volume. There were 41 participants from 14 countries and 27 lectures were presented, all included in this volume. The speakers presented reviews of topics to which they themselves have made important contributions and also re- sults of new original research. The result is a volume which, though multiauthored, has the character of a...
The NATO Advanced Research Workshop "Painleve Transcendents, their Asymp- totics and Physical Applications," held at the Alpine Inn in Sainte-Adele, n...
This text is devoted to a topic that has undergone rapid and fruitful development over the last 25 years of the 20th century, namely Backlund and Darboux transformations and their applications in the theory of integrable systems, also known as soliton theory.
This text is devoted to a topic that has undergone rapid and fruitful development over the last 25 years of the 20th century, namely Backlund and Darb...
Difference equations are playing an increasingly important role in the natural sciences. Indeed many phenomena are inherently discrete and are naturally described by difference equations. Phenomena described by differential equations are therefore approximations of more basic discrete ones. Moreover, in their study it is very often necessary to resort to numerical methods. This always involves a discretization of the differential equations involved, thus replacing them by difference equations. This book shows how Lie group and integrability techniques, originally developed for differential...
Difference equations are playing an increasingly important role in the natural sciences. Indeed many phenomena are inherently discrete and are natural...
The NATO Advanced Research Workshop "Painleve Transcendents, their Asymp- totics and Physical Applications," held at the Alpine Inn in Sainte-Adele, near Montreal, September 2 -7, 1990, brought together a group of experts to discuss the topic and produce this volume. There were 41 participants from 14 countries and 27 lectures were presented, all included in this volume. The speakers presented reviews of topics to which they themselves have made important contributions and also re- sults of new original research. The result is a volume which, though multiauthored, has the character of a...
The NATO Advanced Research Workshop "Painleve Transcendents, their Asymp- totics and Physical Applications," held at the Alpine Inn in Sainte-Adele, n...
This book shows how Lie group and integrability techniques, originally developed for differential equations, have been adapted to the case of difference equations. Difference equations are playing an increasingly important role in the natural sciences. Indeed, many phenomena are inherently discrete and thus naturally described by difference equations.
More fundamentally, in subatomic physics, space-time may actually be discrete. Differential equations would then just be approximations of more basic discrete ones. Moreover, when using differential equations to analyze continuous...
This book shows how Lie group and integrability techniques, originally developed for differential equations, have been adapted to the case of diffe...
